C₂²×D₈×#64408 #34031411

order	18688
automorphism	?
homology	Abelianization (H₁) = C₂⁴×C₄ · Schur multiplier (H₂) = C₂¹⁰

Aliases

direct product	C₂²×D₈×#64408
unambiguous semidirect product	D₇₃⋊(C₂×C₄×D₈)

Fitting	C₂²×D₈×C₇₃ ⋊ C₄
Sylow	C₇₃ ⋊ C₂²×C₄×D₈

3694 conjugacy classes of subgroups.

μ_t(G) = 2336

616 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(18688, 1114995);